JTAM (Jurnal Teori dan Aplikasi Matematika)
http://journal.ummat.ac.id/index.php/jtam
<table class="data" width="100%" bgcolor="#f0f0f0"><tbody><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%">Journal Title</td><td style="padding-bottom: 0.25em;" width="80%"><strong>JTAM (<strong>Jurnal Teori dan Aplikasi Matematika)</strong></strong></td></tr></tbody></table><table class="data" style="border: 0px; border-spacing: 0px; font-size: 12px; color: #222222; font-family: Tahoma, Verdana, Arial, Helvetica, sans-serif; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;" width="100%" bgcolor="#f0f0f0"><tbody><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%">Initials</td><td style="padding-bottom: 0.25em;" width="80%"><strong>JTAM</strong></td></tr><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%">Frequency</td><td style="padding-bottom: 0.25em;" width="80%"><strong>4</strong> <strong>issues per year (January, April, July & October)</strong></td></tr><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%">DOI</td><td style="padding-bottom: 0.25em;" width="80%"><strong>prefix<span> </span><a style="text-decoration: none; color: steelblue;" href="https://search.crossref.org/?q=Jurnal+Teori+dan+Aplikasi+Matematika+%28JTAM%29" target="_blank">10.31764 by<span> </span><img style="border: 0px;" src="http://ijain.org/public/site/images/apranolo/Crossref_Logo_Stacked_RGB_SMALL.png" alt="" height="14" /></a></strong></td></tr><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%">Print ISSN</td><td style="padding-bottom: 0.25em;" width="80%"><a href="http://u.lipi.go.id/1505101426" target="_blank"><span style="text-decoration: none; color: steelblue;"><strong>2597-7512</strong></span></a></td></tr><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%">Online ISSN</td><td style="padding-bottom: 0.25em;" width="80%"><a href="http://u.lipi.go.id/1506312532" target="_blank"><span style="text-decoration: none; color: steelblue;"><strong>2614-1175</strong></span></a></td></tr><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%">OAI Address</td><td style="padding-bottom: 0.25em;" width="80%"><strong><a href="/index.php/jtam/oai">http://journal.ummat.ac.id/index.php/jtam/oai</a></strong></td></tr><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%"><span>Editor-in-Chief</span></td><td style="padding-bottom: 0.25em;" width="80%"><strong><a href="https://scholar.google.co.id/citations?user=N60_aooAAAAJ&hl=id&oi=ao" target="_blank"><strong><strong>Syaharuddin</strong></strong></a><a style="text-decoration: none; color: steelblue;" href="https://www.scopus.com/authid/detail.uri?authorId=35619439200"><br /></a></strong></td></tr><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%">Status</td><td style="padding-bottom: 0.25em;" width="80%"><strong><strong></strong><a title="JTAM" href="https://sinta.ristekbrin.go.id/journals/detail?id=4258" target="_blank">Accredited (Sinta 2)</a> | <a href="https://drive.google.com/file/d/1VMCsRns3Kb5RnjXSkAdAeddOjbLf6YWK/view?usp=sharing" target="_blank">No. </a><span><a href="https://drive.google.com/file/d/1VMCsRns3Kb5RnjXSkAdAeddOjbLf6YWK/view?usp=sharing" target="_blank">148/M/KPT/2020 (Certificate)</a><br /></span>Valid: Volume 4 Issues 1 2020 - Volume 8 Issues 2 2024<br /></strong></td></tr><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%"><span>Contact</span></td><td style="padding-bottom: 0.25em;" width="80%"><strong><a href="mailto:jtam.ummat@gmail.com">jtam.ummat@gmail.com</a> </strong></td></tr><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%"><span>Publication</span></td><td style="padding-bottom: 0.25em;" width="80%"><strong>October 2017</strong></td></tr><tr valign="top"><td style="padding-bottom: 0.25em;" width="20%">Publisher</td><td style="padding-bottom: 0.25em;" width="80%"><strong><a href="/index.php/">Universitas Muhammadiyah Mataram</a></strong></td></tr></tbody></table><p><strong><br /></strong></p><p><strong><br /></strong></p><p><strong>JTAM (<strong>Jurnal Teori dan Aplikasi Matematika)</strong></strong> is a peer-refereed open-access journal which has been established for the dissemination of state-of-the-art knowledge in the field of theory and applications of mathematics. All submitted manuscripts will be initially reviewed by editors and are then evaluated by a minimum of <strong>two reviewers</strong> through the <strong>double-blind review </strong>process. This is to ensure the quality of the published manuscripts in the journal. </p><p><strong>JTAM (<strong>Jurnal Teori dan Aplikasi Matematika)</strong></strong> welcomes high-quality manuscripts resulted from a research project in the scope of <strong>mathematics and mathematics education</strong>, which includes, but is not limited to the following topics: </p><ul><li><strong><strong>Mathematics, </strong></strong>include Algebra and Number Theory, Numerical Analysis, Geometry and Topology, Theoretical Computer Science, Control and Optimization, Logic, Discrete Mathematics and Combinatorics, Computational Mathematics, Applied Mathematics, Statistics, Probability, and Its Applications.</li><li><strong>Mathematics Education, </strong>include Realistic Mathematics Education (RME), Design or Development Research in Mathematics and Mathematics Education, PISA Task, Mathematics Ability, ICT in Mathematics Education, Lesson Study for Mathematics Learning Community, and Ethnomathematics.</li></ul><p><strong>Citation Information:</strong></p><iframe style="border: 0px #ffffff none;" name="statistik" src="https://author.my.id/widget/statistik.php?sinta=4258&gs=jBI0ltgAAAAJ&hl=id&sc=15&link=https://www.scopus.com/results/results.uri?sort=plf-f&src=dm&st1=Jurnal+Teori+dan+Aplikasi+Matematika&sid=1ca0d4fe287eafc4587d76abd17b29a7&sot=b&sdt=cl&sl=51&s=TITLE-ABS-KEY%28Jurnal+Teori+dan+Aplikasi+Matematika%29&origin=resultslist&editSaveSearch=&sessionSearchId=1ca0d4fe287eafc4587d76abd17b29a7&limit=10&cluster=scoexactsrctitle%2C%22Jtam+Jurnal+Teori+Dan+Aplikasi+Matematika%22%2Ct%2C%22Jurnal+Teori+Dan+Aplikasi+Matematika%22%2Ct%2C%22Jurnal+Teori+Dan+Aplikasi+Matematika+Jtam%22%2Ct" frameborder="0" marginwidth="0px" marginheight="0px" scrolling="no" width="100%" height="260px"></iframe>Universitas Muhammadiyah Mataramen-USJTAM (Jurnal Teori dan Aplikasi Matematika)2597-7512<p>Authors who publish articles in <strong>JTAM (Jurnal Teori dan Aplikasi Matematika)</strong> agree to the following terms:</p><ol><li class="show">Authors retain copyright of the article and grant the journal right of first publication with the work simultaneously licensed under a <strong>CC-BY-SA</strong> or <strong>The Creative Commons Attribution–ShareAlike License.</strong></li><li class="show">Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.</li><li class="show">Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See <a href="http://opcit.eprints.org/oacitation-biblio.html" rel="noopener" target="_blank">The Effect of Open Access</a>).</li></ol>The Application of Delta Gamma Normal Value at Risk to Measure the Risk in the Call Option of Stock
http://journal.ummat.ac.id/index.php/jtam/article/view/19669
Call options of stock have a nonlinear dependence on market risk factors, thus encouraging the development of a method capable of measuring the risk of call option of stock, namely the Delta Gamma Normal Value at Risk (DGN VaR) method. The DGN VaR method can provide a more accurate VaR estimate than Delta Normal VaR (DN VaR) because of the Delta and Gamma sensitivity measures in the formula. The DGN VaR method uses the second-order Taylor Polynomial approach to approximate the return of stock price underlying the call option. This research applies the DGN VaR method to analyze the risk of call options of Atlassian Corporation (TEAM) and MicroStrategy Incorporated (MSTR). Both companies operate in the technology sector and are among the top 100 largest software companies based on market capitalization for the analysis period September 21, 2022 to September 21, 2023. The analyzed options in this research consist of in-the-money and out-of-the-money options with several strike prices (K). For in-the-money options, the strike prices are $105, $110, and $115 for TEAM, and $150, $160, and $170 for MSTR, while for out-of-the-money options, the strike prices are $190, $195, and $200 for TEAM, and $330, $340, and $350 for MSTR with varying confidence levels of 80%, 90%, 95%, and 99%. Based on the results of the analysis, the DGN VaR for the analyzed in-the-money option has a greater value than the DGN VaR for the analyzed out-of-the-money option.Ayu AstutiEvy SulistianingsihShantika MarthaWirda Andani
Copyright (c) 2024 Ayu Astuti, Evy Sulistianingsih, Shantika Martha, Wirda Andani
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2024-03-302024-03-308232433510.31764/jtam.v8i2.19669Domination Numbers in Graphs Resulting from Shackle Operations with Linkage of any Graph
http://journal.ummat.ac.id/index.php/jtam/article/view/19675
<p>The domination number is the number of dominating nodes in a graph that can dominate the surrounding connected nodes with a minimum number of dominating nodes. This domini number is denoted by γ(G). In this research, we will examine the domination number of the distance between two graphs resulting from the shackle operation with any graph as linkage. This differs from previous research, namely the domination of numbers at one and two distances. This study emphasizes how the results of operations on the shackle are connected to the shackle graph as any graph connects the copy. Any graph here means all graphs are connected and generally accepted. The method used in this research is pattern recognition and axiomatic deductive methods. The pattern detection method examines patterns where a graph's number of dominating points can dominate the connected points around it with a minimum number of dominating nodes. Meanwhile, axiomatic deductive is a research method that uses the principles of deductive proof that apply to mathematical logic by using existing axioms or theorems to solve a problem. The Result of graph S_n with t copies and S_m as linkage, then the two-distance domination number in the graph resulting from the shackle operation is γ_2 (Shack(S_n,S_m,t) )=t-1; graph S_n with t copies and C_m as linkage, then the two-distance domination number in the graph resulting from the shackle operation is γ_2 (Shack(S_n,C_m,t) )={■(t,for 3≤m≤6@⌈n/5⌉(t-1),for m≥7)┤; graph C_n with t copies and S_m as linkage, then the two-distance domination number in the graph resulting from the shackle operation is<br />γ_2 (Shack(C_n,S_m,t) )={■(t-1,for n=3@t,for 4≤n≤5@⌈n/5⌉t,for n≥6)┤ <br />This research provides benefits and adds to research results in the field of graph theory specialization of two-distance domination numbers in the result graph of shackle operation with linkage any graph.</p>Ilham SaifudinTriyanna WidiyaningtyasRohmad Wahid RhomdaniMoh. Dasuki
Copyright (c) 2024 Ilham Saifudin, Triyanna Widiyaningtyas, Rohmad Wahid Rhomdani, Moh. Dasuki
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2024-03-302024-03-308233635010.31764/jtam.v8i2.19675Algorithm for Constructing Total Graph of Commutative Ring
http://journal.ummat.ac.id/index.php/jtam/article/view/19850
<p>Let R be a commutative ring. The total graph of R, denoted by TΓ(R) is a graph whose vertices are all elements of the ring R and every i,j∈R with i≠j, then i and j vertices are connected by edges if and only if i+j∈Z(R), where Z(R) is the set of zero-divisors in R with 0∈Z(R). Python programming is code that is easy to learn, read, understand, and helpful in explaining problems regarding graphs and algebra. In this paper, we determine an algorithm to construct the total graph of ring Z_n using Python. The research methods in this paper is a literature studies. The results generated by the algorithm can be utilized to observe the characteristic patterns displayed by the graph. Based on the algorithm’s constructed graph pattern, several properties of TΓ(Z_n ) can be inferred. For instance, if n is a prime number, then TΓ(Z_n ) is a disconnected graph. On the other hand, if n is a prime number and n≥3, then TΓ(Z_2n ) and TΓ(Z_4n ) is a connected graph, regular graph, Hamiltonian graph, and has a girth gr(TΓ(〖Z〗_n ))=3. In this paper we creating an algorithm to construct total graphs from commutative rings streamlines the construction process, enhances accessibility and utilization of total graphs, and supports parameter variation exploration and application in problem-solving.</p><p> </p>Rima MeinawatiVika Yugi KurniawanNughthoh Arfawi Kurdhi
Copyright (c) 2024 Rima Meinawati, Vika Yugi Kurniawan, Nughthoh Arfawi Kurdhi
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2024-03-302024-03-308235136310.31764/jtam.v8i2.19850Dynamical of Prey Refuge in a Diased Predator-Prey Model with Intraspecific Competition for Predator
http://journal.ummat.ac.id/index.php/jtam/article/view/19893
<p>The predator-prey model described is a population growth model of an eco-epidemiological system with prey protection and predator intraspecific traits. Predation interactions in predator species use response functions. The aim of this research is to examine the local stable balance point and look at the characteristics of species resulting from mathematical modeling interventions. Review of balance point analysis, numerical simulation and analysis of given trajectories. The research results show the shape of the model which is arranged with a composition of 5 balance points. There is one rational balance point to be explained, using the Routh-Hurwitz criterion, . The characteristic equation and associated eigenvalues in the mathematical model are the local asymptotically stable balance points. In the trajectory analysis, local stability is also shown by the model formed. There are differences for each population to reach its point of stability. The role of prey protection behavior is very effective in suppressing the spread of disease. Meanwhile, intraspecific predator interactions are able to balance the decreasing growth of prey populations. If we increase the intraspecific interaction coefficient, we can be sure that the growth of the prey population will both increase significantly. When the number of prey populations increases significantly, of course disease transmission and prey protection become determining factors, the continuation of the model in exosite interactions. In prey populations and susceptible prey to infection, growth does not require a long time compared to the growth of predator populations. The time required to achieve stable growth is rapid for the prey species. Although prey species' growth is more fluctuating compared to predator populations. Predatory species are more likely to be stable from the start of their growth. The significance of predatory growth is only at the beginning of growth, while after that it increases slowly and reaches an ideal equilibrium point. Each species has its own characteristics, so extensive studies are needed on more complex forms of response functions in further research.</p><p> </p>Rian Ade Pratama
Copyright (c) 2024 Rian Ade Pratama
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2024-03-302024-03-308236437710.31764/jtam.v8i2.19893Structural Equation Modeling: The Influence of School Environment on Students' Interest in Selecting State University
http://journal.ummat.ac.id/index.php/jtam/article/view/19921
<p>Despite prior research on student interest in colleges, this study focuses specifically on how the school environment, including individual factors, friends, and teachers, influences students' interest in attending a state university. Understanding these influences can help improve educational systems to better guide students towards higher education. This study aims to determine the influence of the school environment on students' interest in selecting a state university. This research employs a quantitative approach, utilizing structural equation modeling to analyze the relationships between variables. This study examines how a school environment, captured by twelve indicators across individual, friend, and teacher influences, impacts students' interest in state universities. Therefore, data retrieval based on questionnaires is designed accordingly based on latent variables. The sample in this study were 474 high school and vocational school students on the Indonesia-Timor Leste border, which is precisely located in Timor Tengah Utara Regency. The results showed that the school environment that came from individuals, partners, and teachers had a major influence on students' interest in choosing State University. Based on the analysis of structural equations, it was found that individual environments had a direct influence of 98%, partner environments had an indirect influence of 90%, and teachers also indirectly affected 71%. This study contributes to the field by quantifying the distinct influences of individual, peer, and teacher aspects of the school environment on students' interest in attending state universities. This knowledge can inform the development of targeted interventions to improve educational guidance and support student decision-making.</p>Justin Eduardo SimarmataFerdinandus MoneDebora Chrisinta
Copyright (c) 2024 Justin Eduardo Simarmata, Ferdinandus Mone, Debora Chrisinta
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2024-03-302024-03-308237838910.31764/jtam.v8i2.19921The Development of Students’ Worksheets Based on Combinatoric Reasons in Elementary School
http://journal.ummat.ac.id/index.php/jtam/article/view/20214
This study was motivated by the many shortcomings of students’ worksheets so far, including the incapability in developing students’ scientific skills and high-level thinking. Meanwhile, the learning objectives of the elementary school level get students to think reasonably and solve problems. Therefore, developing students’ worksheets based on combinatoric reason is the solution, as it drills students to have sustainable thinking. This study aimed to see the validity, practicality, and effectiveness of students’ worksheets based on combinatoric reason. It is a Research and Development study with the Plomp model. The plomp model consists of preliminary investigation; design; realization/construction; and test, evaluation, and revision. The research instruments were students’ worksheets, validation form, questionnaire, and test form. The subject involved 40 students in the sixth grade of elementary school. The data analysis used is descriptive qualitative and descriptive quantitative. It resulted in 91,5% for the validity (very valid), 90,9% for the practicality (very practical), and 92,5% for the effectiveness (very effective). Thus, it indicates that students’ worksheets based on combinatoric reason are valid, practical, and effective, which are proper for elementary school. So, it is recommended that mathematics teachers use it in learning, because it trains students to use combinatorial reasoning. As a result, students become flexible and logical in determining strategies, as well as being systematic in solving problems. As a result, elementary school students' Problem-solving and higher order thinking abilities become better.Nurul AiniEny Suryowati
Copyright (c) 2024 Nurul Aini, Eny Suryowati
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2024-03-302024-03-308239039910.31764/jtam.v8i2.20214The Application of Truncated Spline Semiparametric Path Analysis on Determining Factors Influencing Cashless Society Development
http://journal.ummat.ac.id/index.php/jtam/article/view/19913
Semiparametric path analysis is a combination of parametric and nonparametric path analysis. Semiparametric path analysis is used when there are partially nonlinear and unknown patterns of relationships. One approach to semiparametric pathways is truncated spline. Truncated spline approach tends to search for their own estimation of regression functions according to the data. This is because in the truncated spline there are knot points, which are intersection points that indicate changes in data behavior patterns. Truncated spline semiparametric path analysis will be applied to this study to determine the variables that have a significant effect on the development of the Cashless Society so that the result can be used as a reference for banks and the government in maximizing non-cash-based community development. The data used is the result of a questionnaire with 100 respondents of mobile banking users in Jakarta and will be analyzed using R Studio. Based on the results, it was found that the optimal knot point in the truncated spline function is 3 with many knots is 1, thus dividing the condition of digitizing electronic money into 2 regimes. It was concluded that the product and digitalization of electronic money had a significant effect on the development of cashless society where the modeling obtained could explain 83.87548% of the data. However, when electronic digitalization increases through the value of knot points, the development of cashless society tends to stagnate. This could be due to people who are not ready when the condition of digitizing electronic money is increasingly sophisticated because the available electronic money features are increasingly complex. Therefore, it is important for banks to pay attention to the sophistication of electronic money features provided to customers and adjust the target market so that customers are more accustomed and comfortable to use electronic money in the future.Dea Saraswati PramaningrumAdji Achmad Rinaldo FernandesAtiek IrianySolimun Solimun
Copyright (c) 2024 Dea Saraswati Pramaningrum, Adji Achmad Rinaldo Fernandes, Atiek Iriany, Solimun
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2024-03-302024-03-308240041010.31764/jtam.v8i2.19913Novel Distance-Based Molecular Descriptors for Styrene Butadiene Rubber Structures
http://journal.ummat.ac.id/index.php/jtam/article/view/20037
Styrene-butadiene rubber (SBR) is a general-purpose rubber produced from a copolymer of styrene and butadiene. It is used largely in automobile and truck tires. In general, it is considered to be an abrasion-resistant replacement for natural rubber. In this article, we compute a set of recently introduced distance-based topological descriptors namely, Zagreb connection indices and reformulated Zagreb connection indices for the SBR structures. Zagreb indices and Reformulated Zagreb indices were applied to forecast numerous molecular properties through QSAR studies of boiling point, Molar volume and bioactivity. These indices offer a quick and effective measure of molecular complexity and features of their composition resulting in approximate molecular behavior.Natarajan ChidambaramMuhammad KamranDeepa BalasubramanianShahzaib HameedSaba MehmoodWasim RazaAamir Hussain KhanZainab Iqbal
Copyright (c) 2024 Natarajan Chidambaram, Muhammad Kamran, Deepa Balasubramanian, Shahzaib Hameed, Saba Mehmood, Wasim Raza, Aamir Hussain Khan, Zainab Iqbal
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2024-03-302024-03-308241142410.31764/jtam.v8i2.20037Nonparametric Smoothing Spline Approach in Examining Investor Interest Factors
http://journal.ummat.ac.id/index.php/jtam/article/view/20192
<p>The nonparametric approach is an appropriate approach for patterns of relationships between predictor variables and response variables that are not or have not been known in form. In other words, there is no complete information about the pattern of relationships between variables. Curve estimation is determined based on relationship patterns in existing data. The nonparametric approach has great flexibility for estimating regression curves. This study aims to form a model on investor interest factors in improving tourism investment decisions with a nonparametric approach. The nonparametric method used is the smoothing spline regression method. The smoothing spline method is used because the modeling results from the smoothing spline approach can follow the relationship model between variables contained in the data. Thus, this method really helps researchers to model relationships between variables that are not linear and whose linear form is unknown. The results of the analysis showed that the nonparametric smoothing spline regression analysis method could model data by 94.63%, indicates that data variance can be explained by 94.63% with models, while other variance outside the study explain the remaining 5.37%. That is, investment motivation is one of the most important factors to improve investment decisions.</p><p> </p>Yossy Maynaldi PratamaAdji Achmad Rinaldo FernandesNi Wayan Surya WardhaniRosita Hamdan
Copyright (c) 2024 Yossy Maynaldi Pratama, Adji Achmad Rinaldo Fernandes, Ni Wayan Surya Wardhani, Rosita Hamdan
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2024-03-302024-03-308242544010.31764/jtam.v8i2.20192CART Classification on Ordinal Scale Data with Unbalanced Proportions using Ensemble Bagging Approach
http://journal.ummat.ac.id/index.php/jtam/article/view/20201
<p>CART is one of the algorithms in data exploration techniques with decision tree techniques. Unbalanced class proportions in the classification process can cause classification results of minor data to be incorrect. One way to overcome the problem of data imbalance is to use an ensemble bagging algorithm. The bagging algorithm utilizes the resampling method to carry out classification so that it can reduce bias in imbalanced data. The data used is secondary data from Fernandes and Solimun's 2023 research report. The number of sample are 100 respondents that has been valid and reliable. The sample for this research was mothers with toddlers in Wajak village, Malang Regency. The results showed that the ensemble bagging CART method is better at overcoming the problem of imbalance in the proportion of classes with a performance value of accuracy, sensitivity, specificity, and F1-Score values of 85%, 94.1%, 66.7%, and 78%. This research is limited to the Sumberputih Village area. So, the results of this research are only representative for the Wajak District area.</p><p> </p>Luthfia Hanun Yuli AriniSolimun SolimunAchmad EfendiMohammad Ohid Ullah
Copyright (c) 2024 Luthfia Hanun Yuli Arini, Solimun, Achmad Efendi, Mohammad Ohid Ullah
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2024-03-302024-03-308244145310.31764/jtam.v8i2.20201Super (a,d)-P_2⨀P_m-Antimagic Total Labeling of Corona Product of Two Paths
http://journal.ummat.ac.id/index.php/jtam/article/view/20065
Graph labeling involves mapping the elements of a graph (edges and vertices) to a set of positive integers. The concept of an anti-magic super outer labeling (a,d)-H pertains to assigning labels to the vertices and edges of a graph using natural numbers {1,2,3,...,p+q}. The weights of the outer labels H form an arithmetic sequence {a,a+d,a+2d,...,a+(k-1)d}, where 'a' represents the first term, 'd' is the common difference, and 'k' denotes the total number of outer labels, with the smallest label assigned to a vertex. This study investigates the super (a,d)-P_2⨀P_m-antimagic total labeling of the corona product P_n⨀P_m, where n and m are both greater than or equal to 3. We define the labeling functions for vertices and edges based on the partitioning of labels into three subsets. Using k-balanced and (k,δ)-anti balanced multisets, we demonstrate that for m being odd, P_n⨀P_m is super (9m^2 n+4mn+m-n+3,1)-P_2 ⨀▒P_(m ) -antimagic, and for m being even, P_n⨀P_m is super (9m^2 n+4mn+m-2n+5,3)-P_2 ⨀▒P_(m ) -antimagic. The labeling scheme is illustrated through examples. For the case when m is odd, an antimagic total labeling of P_3 ⨀▒P_3 forms a super (282,1)- P_2 ⨀▒P_(3 ) -antimagic labeling. In the case of even m, an antimagic total labeling of P_3 ⨀▒P_(4 ) results in a super (483,3)- P_2 ⨀▒P_(4 ) -antimagic labeling. Both of these examples provide insights into the antimagic properties of corona products.Bela Zainun YatinZata Yumni AwanisI Gede Adhitya Wisnu Wardhana
Copyright (c) 2024 Bela Zainun Yatin, Zata Yumni Awanis, I Gede Adhitya Wisnu Wardhana
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2024-03-302024-03-308245446410.31764/jtam.v8i2.20065Forecasting Maximum Water Level Data for Post Sangkuliman using An Artificial Neural Network Backpropagation Algorithm
http://journal.ummat.ac.id/index.php/jtam/article/view/20112
<p>Neural Network (NN) is an information processing system that has characteristics similar to biological neural networks. One of the algorithms in NN is Backpropagation Neural Network (BPNN). BPNN is an excellent method for dealing with complex pattern recognition problems. In this research, maximum water level forecasting was carried out at Sangkuliman Post using a Backpropagation Neural Network. This research aims to obtain modeling for forecasting maximum water level, as well as forecasting results using the best model. The research results show that the best model is five neurons in hidden layer 1 and 3 neurons in hidden layer 2 with the backpropagation algorithm, the activation function used is binary sigmoid, the learning rate is 0.001, and the maximum iteration is 10,000,000 with the smallest RMSE result being 1.816. The forecast results for the following 12 periods are 1.672, 1.779, 1.523, 1.271, 1.752, 1.692, 1.335, 1.479, 1.750, 1.779, 1.340, 1.269, and 1.754. Forecasting results can be used by various parties in decision-making and planning in multiple fields, as an example to see the patterns of biological and vegetable life around Sangkuliman Post. Based of forecasting results, certain months show an increase in maximum water levels.</p><p> </p>Mislan MislanAndrea Tri Rian Dani
Copyright (c) 2024 Mislan, Andrea Tri Rian Dani, Yossy Candra
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2024-03-302024-03-308246547810.31764/jtam.v8i2.20112Analysis of Food Security Factors in Indonesia using SEM-GSCA with the Alternating Least Squares Method
http://journal.ummat.ac.id/index.php/jtam/article/view/20378
An economic recession, characterized by prolonged economic decline, increased unemployment, and decreased spending, is projected to occur globally in 2023, potentially impacting production capacity within the food sector. Experts have identified various contributing factors such as shifts in global trade dynamics and geopolitical tensions, highlighting the need to understand the broader global economic context leading to this recession. To achieve this goal, in this research SEM is used to analyze the relationship between variables that influence food security. Furthermore, GSCA is used to handle complex structural models and non-normal data distribution. Special considerations include the use of ALS methods to estimate parameters effectively and consistently. The findings of this research are the important role of availability, access and utilization in shaping food security in Indonesia, with a contribution of 98% of the overall influence shown by the model. These insights help governments design targeted interventions to improve food security, especially amidst challenges posed by a potential global economic downturn. Implementing strategies to increase availability, increase access and optimize utilization is very important in maintaining food security amidst economic uncertainty.Wardhani Utami DewiKhoirin NisaMustofa Usman
Copyright (c) 2024 Wardhani Utami Dewi, Khoirin Nisa, Mustofa Usman
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2024-03-312024-03-318247949410.31764/jtam.v8i2.20378Identifying Factors Affecting Waste Generation in West Java in 2021 Using Spatial Regression
http://journal.ummat.ac.id/index.php/jtam/article/view/19664
<p>Responsible consumption and production is the 12th of the seventeen SDGs which is difficult for developing countries to achieve due to high waste production. Indonesia is the second largest producer of food waste in the world. Garbage is solid waste generated from community activities. Population density is an indicator to estimate the amount of waste generated in an area. The choice of West Java Province as the research area is based on the fact that this Province has the second highest population density in Indonesia. This study aimed to determine the predictors/factors that influence waste production in the districts/cities of West Java Province. The data used in this study are total waste as a response variable and GRDP (gross domestic product), total spending per capita, average length of schooling, literacy rate, number of MSMEs (micro, small, and medium enterprises), and several recreational and tourism places, the number of people's markets, and the number of restaurants as predictors. The methods used in this research are spatial autoregressive regression/SAR, spatial Lag-X/SLX, and spatial Durbin/SDM. The results of this study show that the SAR is the best model with the lowest BIC (74.442) and pseudo-R-squared (0.7934). Factors that significantly affect total waste production are literacy levels, the number of MSMEs, the number of traditional markets, and the number of recreational and tourist places.</p><p> </p>Anik DjuraidahAkbar RizkiTony Alfan
Copyright (c) 2024 Anik Djuraidah, Akbar Rizki, Tony Alfan
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2024-04-022024-04-028249550510.31764/jtam.v8i2.19664Robust Optimization of Vaccine Distribution Problem with Demand Uncertainty
http://journal.ummat.ac.id/index.php/jtam/article/view/20035
This study proposes a multi objective optimization model for vaccine distribution problems using the Maximum Covering Location Problem (MCLP) model. The objective function of the MCLP model in this study is to maximize the fulfillment of vaccine demand for each priority group at each demand point. In practice, the MCLP model requires data on the amount of demand at each demand point, which in reality can be influenced by many factors so that the value is uncertain. This problem makes the optimization model to be uncertain linear problem (ULP). The robust optimization approach converts ULP into a single deterministic problem called Robust Counterpart (RC) by assuming the demand quantity parameter in the constraint function is in the set of uncertainty boxes, so that a robust counterpart to the model is obtained. Numerical simulations are carried out using available data. It is found that the optimal value in the robust counterpart model is not better than the deterministic model but is more resistant to changes in parameter values. This causes the robust counterpart model to be more reliable in overcoming uncertain vaccine distribution problems in real life. This research is limited to solving the problem of vaccine distribution at a certain time and only assumes that the uncertainty of the number of requests is within a specified range so that it can be developed by assuming that the number of demand is dynamic.Faiqul FikriBib Paruhum SilalahiJaharuddin Jaharuddin
Copyright (c) 2024 Faiqul Fikri, Bib Paruhum Silalahi, Jaharuddin
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2024-04-022024-04-028250651910.31764/jtam.v8i2.20035Rainfall Forecasting Using an Adaptive Neuro-Fuzzy Inference System with a Grid Partitioning Approach to Mitigating Flood Disasters
http://journal.ummat.ac.id/index.php/jtam/article/view/20385
<p>Hydrometeorological disasters are one of the disasters that often occur in big cities like Semarang. Hydrometeorological disasters that often occur are floods caused by high-intensity rainfall in the area. Early mitigation needs to be done by knowing about future rain. Rainfall data in Semarang City fluctuates, so the Adaptive Neuro-Fuzzy Inference System (ANFIS) method approach is very appropriate. This research will use the Grid Partitioning (GP) approach to produce more accurate forecasting. The data used in this research is daily rainfall observation data from the Meteorology Climatology Geophysics Agency (BMKG). The membership functions used are Gaussian and Generalized Bell. The two membership functions will be compared based on the RMSE and MAPE values to get the best one. The data used in this research is daily rainfall data. Rainfall in Semarang City every month experiences anomalies, which can result in flood disasters. The ANFIS-GP method with a Gaussian membership function is the best, with an RMSE value of 0.0898 and a MAPE of 5.2911. Based on the forecast results for the next thirty days, a rainfall anomaly of 102.53 mm on the thirtieth day could cause a flood disaster.</p><p> </p>Fatkhurokhman FauziRelly ErlindaPrizka Rismawati Arum
Copyright (c) 2024 Fatkhurokhman Fauzi, Relly Erlinda, Prizka Rismawati Arum
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2024-04-022024-04-028252053110.31764/jtam.v8i2.20385Gender Disparities Impact on Pre-Service Teachers' Attitudes in Mathematics and Statistics Education
http://journal.ummat.ac.id/index.php/jtam/article/view/20396
The research investigates the impact of gender disparities on prospective teachers' attitudes towards statistics in mathematics education. The problem is a lack of understanding of how gender influences attitudes towards statistics. This research aims to explore differences in attitudes towards statistics based on gender and identify factors that influence these attitudes. The urgency lies in the importance of better understanding how gender can influence attitudes toward statistics among prospective teachers. This research method uses the Attitudes towards Statistics Survey (SATS-36) survey which was completed by 355 prospective teachers from 7 TTCs who were randomly selected. Data was collected through an online survey and analyzed using an independent T-test to compare the attitudes of prospective teachers based on gender. The results show that prospective teachers have a positive attitude towards statistics and gender has a significant influence on attitudes towards statistics. A significant difference was found in attitudes towards statistics between male and female teacher candidates, with men tending to have more positive attitudes. The conclusion is that gender plays an important role in shaping prospective teachers' attitudes towards statistics. The implication is that special attention is needed to pay attention to gender factors in developing mathematics education curricula to increase interest and understanding of statistics among prospective teachers.Loso JudijantoJitu Halomoan Lumbantoruan
Copyright (c) 2024 Loso Judijanto, Jitu Halomoan Lumbantoruan
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2024-04-022024-04-028253254310.31764/jtam.v8i2.20396Development of a Desmos-Assisted Planar Analytic Geometry Textbook to Support High Order Thinking Skills
http://journal.ummat.ac.id/index.php/jtam/article/view/20775
<p>The study focuses on improving higher-order thinking skills (HOTS) in mathematics students using a Desmos-assisted planar analytic geometry course. Analytic geometry, which is essential for understanding geometric properties using analytic methods, requires students to develop problem-solving, analysis, assessment, and creativity abilities. However, current educational practices fall short of acquiring these abilities due to insufficient instructional techniques, textbooks, and a lack of integration with information and communication technologies. To address these shortcomings, the study proposes a Desmos-assisted textbook meant to increase students' HOTS through the use of interactive Desmos platform tools such as graphic depiction, experimentation, simulation, and collaborative learning. The textbook development followed the PLOMP model, which included preliminary research, prototyping, and assessment phases, ensuring the textbook's validity and practicality through reiterated evaluations. The findings show that the textbook is highly valid and practical for instructional purposes, improving students' knowledge of mathematical concepts and ability to engage in HOTS processes. Despite some difficulties with HOTS-related practice questions, generally student feedback was positive, emphasizing the textbook's function in supporting a deeper understanding of analytic geometry and encouraging problem-solving skills. The study indicates that integrating technology such as Desmos into mathematics education can greatly contribute to the development of students' HOTS, and recommends its use in teaching techniques as well as additional research on its implementation in educational contexts.</p>Yunika Lestaria NingsihDina OctariaTika Dwi NopriyantiJumroh Jumroh
Copyright (c) 2024 Yunika Lestaria Ningsih, Dina Octaria, Tika Dwi Nopriyanti, Jumroh
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2024-04-022024-04-028254455410.31764/jtam.v8i2.20775Exploring Multivariate Copula Models and Fuzzy Interest Rates in Assessing Family Annuity Products
http://journal.ummat.ac.id/index.php/jtam/article/view/17467
This research explores the development of a reversionary annuity product transformed into a family annuity covering three individuals: husband, wife, and children. The innovative design of this product considers the sequencing of annuity payments post-participant's demise, aiming to mitigate the risk of parents' death impacting their children. Recognizing the inadequacy of assuming independence among individuals in premium calculations, the study employs a multivariate Archimedean Copula model to account for interdependence. The primary objective is to compute the survival single-life function for each individual taken from TMI IV 2009. Then the copula model is implemented with Clayton and Frank copulas at varying Kendall’s tau values (0.25, 0.5, and 0.75). Meanwhile, the interest rates are modeled using the BI-7-day (reverse) rate with a Triangular Fuzzy α-cut. The findings reveal that increasing Kendall’s tau values lead to higher pure premiums, and notably, the Frank Copula model yields higher premium values than the Clayton Copula model. This research contributes valuable insights into the actuarial assessment of family annuity products, shedding light on the significance of considering dependencies among individuals for more accurate premium calculations.Kurnia Novita SariAdy FebrisutisyantoRandi DeautamaNursiti AzirahPida Mahani
Copyright (c) 2024 Kurnia Novita Sari, Ady Febrisutisyanto, Randi Deautama, Nursiti Azirah, Pida Mahani
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2024-04-022024-04-028255556710.31764/jtam.v8i2.17467An Inclusive Distance Irregularity Strength of n-ary Tree
http://journal.ummat.ac.id/index.php/jtam/article/view/20549
An inclusive distance vertex irregular labelling of a simple graph <em>G</em> is a function of the vertex set of to positive integer set such that the sum of its vertex label and the labels of all vertices adjacent to the vertex are distinct. The minimum of maximum label of the vertices is said to be inclusive distance irregularity strength of G, denoted by dis(G). The purpose of this research is showing that dis(T_{n,2})= (n^2+2)/2 where T_{n,2} is a complete <em>n</em>-ary tree to level two.Kristiana WijayaSafira Nur AuliaIkhsanul HalikinKusbudiono Kusbudiono
Copyright (c) 2024 Kristiana Wijaya, Safira Nur Aulia, Ikhsanul Halikin, Kusbudiono
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2024-04-022024-04-028256857710.31764/jtam.v8i2.20549Projection of PT Aneka Tambang Tbk Share Risk Value Based on Backpropagation Artificial Neural Network Forecasting Result
http://journal.ummat.ac.id/index.php/jtam/article/view/20267
PT Aneka Tambang Tbk (ANTAM) received an award as the most sought-after stock issuer in Indonesia in 2016. That stock continued to attract investors in 2022 due to a 105% increase in net profit and a 19% increase in sales from the previous year. Despite the upward trend, investors still had doubts due to the fluctuating movement of ANTAM's stock prices. Therefore, forecasting was needed to determine the future movement of stock prices. The Backpropagation Neural Network method had good capabilities for fluctuating data types. However, this method has the disadvantage of a lengthy iteration process. To handle this limitation, The Nguyen-Widrow weighted setting was applied to address this constraint. The expected Shortfall (ES) method used the forecasting results to measure investment risk. This research uses ANTAM stock closing price data from May 2, 2018, to May 31, 2023. Based on the analysis results, the best architecture was obtained with a configuration of 5-11-1, using Nguyen-Widrow weight initialization and a combination of a learning rate of 0.5 and momentum of 0.9. This architecture yielded a prediction error based on the Mean Absolute Percentage Error (MAPE) of 1.9947%. Risk measurement with the ES method based on the prediction for the next 60 periods showed that at a 95% confidence level, the risk value was 0.002181; at a 90% confidence level, it was 0.002165; at an 85% confidence level, it was 0.002148, and at an 80% confidence level, it was 0.002132.M. Al HarisLaras Indah SetyaningsihFatkhurokhman FauziSaeful Amri
Copyright (c) 2024 M. Al Haris, Laras Indah Setyaningsih, Fatkhurokhman Fauzi, Saeful Amri
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2024-04-022024-04-0282578593]10.31764/jtam.v8i2.20267